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71.0-kg painter is on a uniform 22.0-kg scaffold supported from above by ropes. How close to the left can he approach safely?
- At the threshold of danger, the tension on the far rope reaches zero. (a) Distance from left edge = x; then summing moments about the left rope gives ΣM = 0 = 71.0kg * g * (1m - x) - 22.0kg * g * 2.0m - 6.0kg * g * 1m The g term cancels, and the rest solves to x = 0.296 m ◄ (b) Distance from right edge is X; summing about the right rope, and knowing the g terms will cancel, ΣM = 0 = 22.0kg * 2m + 6.0kg * 3m - 71.0kg * (1m - X) leads to X = 0.127 m ◄ Hope this helps!s
A man of mass 60.3 kg stands on a scaffold supported by a vertical rope at each end. The scaffold has a mass o?
- the HOW is that if he moves 1/6 of the way to an end, then he's 1/3 of the way from that end and 2/3 of the way from the other end. The tension from the platform doesn't change, but the tension from the man on either rope is inversely proportional to his distance from either end; in other words, he's 1/3 of the way from the right end, so 2/3 of his mass goes to tension on that rope; he's 2/3 from the other end so 1/3 of his mass goes to tension on the left rope. the rest is just math!s
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